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The time-dependent traveling salesman problem

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  • Schneider, Johannes

Abstract

A problem often considered in Operations Research and Computational Physics is the traveling salesman problem, in which a traveling salesperson has to find the shortest closed tour between a given set of cities touching each city exactly once. The distances between the single nodes are known to the traveling salesperson. An extension of this problem is the time-dependent traveling salesman problem, in which these distances vary in time. I will show how this more complex problem is treated with physical optimization algorithms like simulated annealing. I will present results for the problem of the 127 beergardens in the area of Augsburg, in which I define a traffic zone in which traffic jams occur in the afternoon.

Suggested Citation

  • Schneider, Johannes, 2002. "The time-dependent traveling salesman problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 151-155.
    • Handle: RePEc:eee:phsmap:v:314:y:2002:i:1:p:151-155
    DOI: 10.1016/S0378-4371(02)01078-6
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    Citations

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    Cited by:

    1. Ruba S. Almahasneh & Laszlo T. Koczy, 2020. "Intuitionistic fuzzy rule-base model for the time dependent traveling salesman problem," Interdisciplinary Description of Complex Systems - scientific journal, Croatian Interdisciplinary Society Provider Homepage: http://indecs.eu, vol. 18(3), pages 352-359.
    2. Rifki, Omar & Chiabaut, Nicolas & Solnon, Christine, 2020. "On the impact of spatio-temporal granularity of traffic conditions on the quality of pickup and delivery optimal tours," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 142(C).
    3. Jean-François Cordeau & Gianpaolo Ghiani & Emanuela Guerriero, 2014. "Analysis and Branch-and-Cut Algorithm for the Time-Dependent Travelling Salesman Problem," Transportation Science, INFORMS, vol. 48(1), pages 46-58, February.
    4. Merve Kayacı Çodur & Mustafa Yılmaz, 2020. "A time-dependent hierarchical Chinese postman problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(1), pages 337-366, March.
    5. Ivana Semanjski & Sidharta Gautama, 2024. "Sustainable Time-Dependent Cheapest Path Problem with Integrated Collaborative Stakeholders’ Perspectives," Sustainability, MDPI, vol. 16(9), pages 1-19, April.
    6. Nikolakopoulos, Athanassios & Sarimveis, Haralambos, 2007. "A threshold accepting heuristic with intense local search for the solution of special instances of the traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1911-1929, March.

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